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1323528540 = 2235172335569
BaseRepresentation
bin100111011100011…
…0111000101011100
310102020110012211120
41032320313011130
510202310403130
6335155450540
744540543535
oct11670670534
93366405746
101323528540
1161a108644
1230b2b6a50
131812854a9
14c7ac768c
157b2db910
hex4ee3715c

1323528540 has 96 divisors (see below), whose sum is σ = 3941421120. Its totient is φ = 330694656.

The previous prime is 1323528527. The next prime is 1323528571. The reversal of 1323528540 is 458253231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234876 + ... + 240444.

It is an arithmetic number, because the mean of its divisors is an integer number (41056470).

Almost surely, 21323528540 is an apocalyptic number.

1323528540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323528540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970710560).

1323528540 is an abundant number, since it is smaller than the sum of its proper divisors (2617892580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1323528540 is a wasteful number, since it uses less digits than its factorization.

1323528540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1323528540 is about 36380.3317741881. The cubic root of 1323528540 is about 1097.9378832216.

The spelling of 1323528540 in words is "one billion, three hundred twenty-three million, five hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 233 255 340 466 510 699 932 1020 1165 1398 2330 2796 3495 3961 4660 5569 6990 7922 11138 11883 13980 15844 16707 19805 22276 23766 27845 33414 39610 47532 55690 59415 66828 79220 83535 94673 111380 118830 167070 189346 237660 284019 334140 378692 473365 568038 946730 1136076 1297577 1420095 1893460 2595154 2840190 3892731 5190308 5680380 6487885 7785462 12975770 15570924 19463655 22058809 25951540 38927310 44117618 66176427 77854620 88235236 110294045 132352854 220588090 264705708 330882135 441176180 661764270 1323528540